%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO248+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:14:57 AM UTC 2026
% Result : Theorem 20.12s 3.09s
% Output : CNFRefutation 20.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 8 ~; 6 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 6 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_defns,axiom,
! [X0,X1] :
( 'right$uapart$upoint'(X0,X1)
<=> 'left$uapart$upoint'(X0,'reverse$uline'(X1)) ) ).
fof(a6_defns,axiom,
! [X0,X1] :
( 'apart$upoint$uand$uline'(X0,X1)
<=> ( 'right$uapart$upoint'(X0,X1)
| 'left$uapart$upoint'(X0,X1) ) ) ).
fof(ax10_basics,axiom,
! [X0,X1] :
~ ( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| 'left$uapart$upoint'(X0,X1) ) ).
fof(con,conjecture,
! [X0,X1,X2] :
( ( 'incident$upoint$uand$uline'(X1,'parallel$ulines'(X2,X0))
& 'apart$upoint$uand$uline'(X0,X2) )
=> 'apart$upoint$uand$uline'(X1,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'incident$upoint$uand$uline'(X1,'parallel$ulines'(X2,X0))
& 'apart$upoint$uand$uline'(X0,X2) )
=> 'apart$upoint$uand$uline'(X1,X2) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(c2,plain,
( 'left$uapart$upoint'(X0,'reverse$uline'(X1))
| ~ 'right$uapart$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[a2_defns]) ).
cnf(c10,plain,
( 'right$uapart$upoint'(X0,X1)
| 'left$uapart$upoint'(X0,X1)
| ~ 'apart$upoint$uand$uline'(X0,X1) ),
inference(clausification,[status(esa)],[a6_defns]) ).
cnf(c51,plain,
~ 'left$uapart$upoint'(X0,X1),
inference(clausification,[status(esa)],[ax10_basics]) ).
cnf(c72,plain,
'apart$upoint$uand$uline'(sK84,sK86),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'apart$upoint$uand$uline'(X0,X1)
| 'right$uapart$upoint'(X0,X1) ),
inference(resolution,[status(thm)],[c51,c10]) ).
cnf(d1,plain,
~ 'right$uapart$upoint'(X0,X1),
inference(resolution,[status(thm)],[c51,c2]) ).
cnf(d2,plain,
~ 'apart$upoint$uand$uline'(X0,X1),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO248+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n015.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 13:13:42 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.12/3.09 % SZS status Theorem for theBenchmark.p
% 20.12/3.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------